Write the appropriate rotation formulas so that in a rotated system the equation has no x'y'-term.4x2 + 5xy + 4y2 - 8x + 8y = 0
A. x = 
x' - 
y'; y = 
x' + 
y'
B. x = 
x' - 
y'; y = 
x' + 
y'
C. x = 
(x' - y'); y = 
(x' + y')
D. x = -y'; y = x'
Answer: C
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Graph the equation. Include the coordinates of any local extreme points and inflection points.y = 2x3 - 3x2 - 12x
A. local minimum: (-2, 8)
local maximum: (0, 0)
inflection point: (-1, 4)
B. no extrema
inflection point: (0, 0)
C. local minimum: (2, -20)
local maximum: (-1, 7)
inflection point: 
D. local minimum: (3, -30)
no inflection point
Integrate the function.
A. 
+ C
B. 
+ C
C. - 
+ C
D. - 
+ C
Find the GCD or LCM as indicated.Given 208 and 135, find the GCD.
A. 6 B. 1 C. 104 D. 65
Suppose that in a certain, company, the relationship between the price per unit p of its product and the weekly sales volume y, in thousands of dollars, is given by 
. Solve this differential equation if 
variablename="impvar_aaab6f371152412eb82083a92" /> when 
.
?
A. 
B. 
C. 
D. 
E. 